342356227200 has 1728 divisors, whose sum is σ = 1480000977000. Its totient is φ = 74636328960.

The previous prime is 342356227151. The next prime is 342356227201. The reversal of 342356227200 is 2722653243.

342356227200 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 5 + 622 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 75064896 + 342281162304 = 8664^2 + 585048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342356227201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2297692726 + ... + 2297692874.

Almost surely, 2^342356227200 is an apocalyptic number.

342356227200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342356227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740000488500).

342356227200 is an abundant number, since it is smaller than the sum of its proper divisors (1137644749800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342356227200 is a wasteful number, since it uses less digits than its factorization.

342356227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 342356227200 in words is "three hundred forty-two billion, three hundred fifty-six million, two hundred twenty-seven thousand, two hundred".